The Benjamin-Ono equation in weighted Sobolev spaces
✍ Scribed by Rafael José Iorio Jr.
- Publisher
- Elsevier Science
- Year
- 1991
- Tongue
- English
- Weight
- 641 KB
- Volume
- 157
- Category
- Article
- ISSN
- 0022-247X
No coin nor oath required. For personal study only.
📜 SIMILAR VOLUMES
## Communicated by M. Lachowicz Let f ∈ L 2,-l (R 3 ), where We prove the decomposition f =-∇u+g, with g divergence free and u is a solution to the problem in R 3 Since f, u, g are defined in R 3 we need a sufficiently fast decay of these functions as |x|→∞.
We consider an initial-boundary value problem for nonstationary Stokes system in a bounded domain ⊂ R 3 with slip boundary conditions. We assume that is crossed by an axis L. Let us introduce the following weighted Sobolev spaces with finite norms: , where x) = dist{x, L}. We proved the result. Gi
An intimate connection between the Peierls Nabarro equation in crystal-dislocation theory and the travelling-wave form of the Benjamin Ono equation in hydrodynamics is uncovered. It is used to prove the essential uniqueness of Peierls' solution of the Peierls Nabarro equation and to give, in closed